Multiple choice

In this question two equations numbered I and II are given. You have to solve both the equations and mark the appropriate option.\nI. (5p^2 + 4p = 0)\nII. (3q^2 - 243 = 0)

  1. If p < q

  2. If p ≥ q

  3. If p ≤ q

  4. If p > q

  5. If p = q or no relation between p and q can be established
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E Correct answer
Explanation

For equation I: 5p² + 4p = 0 factors as p(5p + 4) = 0, giving p = 0 or p = -0.8. For equation II: 3q² - 243 = 0 gives q² = 81, so q = ±9. Comparing all combinations: when q = -9 and p = 0 or -0.8, we have p > q; when q = 9 and p = 0 or -0.8, we have p < q. Since the relationship varies, no definite relation can be established.

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